Vortex Tunneling and Transport Theory In Two-Dimensional Bose Condensates

Details Vortex Tunneling and Transport Theory In Two-Dimensional Bose Condensates Vortex Tunneling and Transport Theory In Two-Dimensional Bose Condensates

2005-09-10

arxiv.org/abs/cond-mat/0509263v3

Phys. Rev. B74, 64511, (2006).

Physics

Condensed Matter

Superconductivity

A revised manuscript, including new predictions for observing vortex tunneling effects in cold atoms and superconducting films

Scientific paper

10.1103/PhysRevB.74.064511

The tunneling rate t_v of a vortex between two pinning sites (of strength V separated by d) is computed using the Bogoliubov expansion of vortex wavefunctions overlap. For BCS vortices, tunneling is suppressed beyond a few Fermi wavelengths. For Bose condensates, t_v = V exp(- pi n_s d^2/2), where n_s is the boson density. The analogy between vortex hopping in a superconducting film and 2D electrons in a perpendicular magnetic field is exploited. We derive the variable range hopping temperature, below which vortex tunneling contributes to magneto-resistance. Using the 'Quantum Hall Insulator' analogy we argue that the -Hall conductivity- (rather than the inverse Hall resistivity) measures the effective carrier density in domains of mobile vortices. Details of vortex wavefunctions and overlap calculations, and a general derivation of the Magnus coefficient for any wavefunction on the sphere, are provided in appendices.

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